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Finding the Fourth Proportional to 473,564.63, 710,407.35 and 217,335.03

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Solution

The fourth proportional to 473,564.63, 710,407.35 and 217,335.03 is: 326,030.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,564.63 : 710,407.35 = 217,335.03 : x
  2. Step 2: Convert to fraction form
    473,564.63/710,407.35 = 217,335.03/x
  3. Step 3: Cross multiply
    473,564.63x = 710,407.35 × 217,335.03
  4. Step 4: Simplify right side
    473,564.63x = 154,396,402,724.47
  5. Step 5: Solve for x
    x = 154,396,402,724.47/473,564.63
  6. Step 6: Final answer
    x = 326,030.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.